Infomation

Overview

Symmetries and correspondences play the most central role in modern number theory. Class field theory and Langlands type correspondences are complemented by other powerful theories such as arithmetic noncommutative class field theories, a variety of higher class field theories, insights from anabelian geometry, mean-periodicity correspondence for zeta functions of arithmetic schemes. Recent work in arithmetic, functional, geometric Langlands correspondences, noncommutative summation formulas, new developments in anabelian geometry, higher adeles and zeta integrals for arithmetic schemes, dualities on arithmetic surfaces, higher equivariant Riemann–Roch theorems, higher commutative summation formulas, as well as related work in representation theory, algebraic analysis, geometry, K-theory, archimedean L-functions and integrable systems, the study of interaction with mirror symmetry, TQFT and quantum computation reveal new intra-disciplinary fundamental structures and stunning perspectives. Several of the new structures are higher structures in the sense of their level of complexity and their relation with higher structures in geometry, topology and category theory.

The conference is preceded by Nottingham workshop on Higher structures in number theory, July 3-4, 2014

Talks will be given by leaders in their areas. They will often be of less technical and more general, overview and programme nature, describing new trends and perspectives and sketching potential for developments and interaction with other areas of mathematics.

Speakers July 5-8

Fedor Bogomolov (Courant Institute/Nottingham)

Kevin Buzzard (ICL)

Ted Chinburg (Philadelphia)

Christopher Deninger (Münster)

Edward Frenkel (Berkeley)

Denis Gaitsgory (Harvard)

Dominic Joyce (Oxford)

Mikhail Kapranov (Yale)

Laurent Lafforgue (IHES)

Robert Langlands (IAS)

Ralf Meyer (Göttingen)

Matthew Morrow (Bonn)

Sergey Oblezin (Nottingham)

Christophe Soulé (IHES)

Masatoshi Suzuki (TIT)

Yuri Tschinkel (Courant Institute)

Shouwu Zhang (Princeton)

Additional Information

Programme

July 5

9:00-9:30 Registration

9:30-10:30 Robert Langlands (IAS)Problems in the theory of automorphic forms: 45 years later

Love and Math

As part of the conference, there will be a public presentation of the new book "Love and Math" by Edward Frenkel. Edward Frenkel is a professor of University of California at Berkeley, the winner of the Hermann Weyl Prize in mathematical physics, and a member of the American Academy of Arts and Sciences. His book "Love and Math" was a New York Times bestseller and was named one of the Best Books of 2013 by both Amazon and iBooks. It is currently being translated into nine languages.

July 7, 2014

4:00-5:00: Short presentation and discussion at Theatre L2, Mathematical Institute, University of Oxford
Moderator: Marcus du Sautoy, Simonyi Professor for Public Understanding of Science, Oxford University
Questions can be submitted by Twitter using the hashtag #loveandmath

5:00: book signing (books will be available for purchase at the event)

"Love and Math" tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program, one of the subjects of the Oxford conference, with Robert Langlands one of its speakers. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve hard problems, such as Fermat's Last Theorem proved by Andrew Wiles, that had seemed intractable before. "Love and Math" is an invitation to discover the hidden magic universe of mathematics. For more information, visit http://www.loveandmathbook.com/